Over the years I have been greatly blessed by author and theologian, John Kleinig. His book, "Grace Upon Grace" is a classic. He very clearly writes about the blessing of baptism on page 169:
In His baptism Jesus takes on our sin and guilt, our death and damnation; in our baptism Jesus gives us His place with God the Father and His status as the only Son of the Father. He gives us all that He is and has to us. We get a new self and life from Him.